Question

is there any simpler method of finding the cube root ,other than prime factorisation, like the long division method or some other ???????

Answer 1

Yes there is...

Ex- Cube root of 474552

474 552

___ ___

Second group First group

474 552

First group is 552

The ones digit is 2. Hence, the cube root of the given number ends with 8 in its ones place. Now, consider the next group 474.

We know that 7×7×7=343(7 cube) and 8×8×8=512(8 cube)

Hence, 343 < 474 < 512

i.r. 7×7×7 < 474 < 8×8×8

The smaller number between 7 and 8 is 7.

We take this 7 in the tens place of the required number.

Hence 3 cube to the 474522=78

thanku